A 100 kg runner exerts a force of 50 N. Determine the acceleration in meters per second squared of the runner using Newton's Second Law.

Answer:

opposite operation

Step-by-step explanation:

divide 35 by 5 so x=7

a. The equation of the revenue function is R(x,y) = 8.6x - 0.4x² - 0.1xy + 8.6y - 0.13xy - 0.7y²

b.  The revenue when the demand for deluxe dog houses is 3 and regular dog houses is 9, is $122,290

a) The revenue function can be obtained by multiplying the price and demand for each type of dog house and then adding them up. Therefore, the revenue function is:

R(x,y) = (8.6 - 0.4x - 0.1y)x + (8.6 - 0.13x - 0.7y)y

Simplifying and collecting like terms, we get:

R(x,y) = 8.6x - 0.4x² - 0.1xy + 8.6y - 0.13xy - 0.7y²

b) To find the revenue when the demand for deluxe dog houses is 3 and regular dog houses is 9, we substitute x = 3 and y = 9 into the revenue function:

R(3,9) = 8.6(3) - 0.4(3)² - 0.1(3)(9) + 8.6(9) - 0.13(3)(9) - 0.7(9)²

Simplifying and calculating, we get:

R(3,9) = $122.29 thousand

Therefore, the revenue is approximately $122,290 when the demand for deluxe dog houses is 3 and regular dog houses is 9, in thousands of dollars.

Learn more about revenue function at https://brainly.com/question/29148322

#SPJ11

Answer:

5x+4+x-2+3x+7=9x+9=180,x+1=20,x=19

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

The 3 angles are supplementary and sum to 180°

Sum the 3 angles and equate to 180

5x + 4 + x - 2 + 3x + 7 = 180 , that is

9x + 9 = 180 ( subtract 9 from both sides )

9x = 171 ( divide both sides by 9 )

x = 19

Answer:

Step-by-step explanation:

sin ∅ = opposite / hypotenuse

From the question

the hypotenuse is 37

the opposite is 12

So we have

sin (a) = 12/37

Hope this helps you

Answer:

This Is CORRECT

Step-by-step explanation:

Answer:

Step-by-step explanation:

7/2 slope

just took the test

Answer:

Simplifying

5(x + 9) = 5x + 45

Reorder the terms:

5(9 + x) = 5x + 45

(9 * 5 + x * 5) = 5x + 45

(45 + 5x) = 5x + 45

Reorder the terms:

45 + 5x = 45 + 5x

Add '-45' to each side of the equation.

45 + -45 + 5x = 45 + -45 + 5x

Combine like terms: 45 + -45 = 0

0 + 5x = 45 + -45 + 5x

5x = 45 + -45 + 5x

Combine like terms: 45 + -45 = 0

5x = 0 + 5x

5x = 5x

Add '-5x' to each side of the equation.

5x + -5x = 5x + -5x

Combine like terms: 5x + -5x = 0

0 = 5x + -5x

Combine like terms: 5x + -5x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions

Step-by-step explanation:

Answer:

\(1\frac{2}{3}\)

5x\(\frac{1}{3}\)= \(\frac{5}{3}\)= \(1\frac{2}{3}\)

Step-by-step explanation:

the width is 1/3, so 3 squares make up one whole square and 5-3=2.

So, the answer is  \(1\frac{2}{3}\). because there are 2 more 1/3 squares left

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

We have,

\(u = sin^{-1)}(2x)\)

dv = 4 dx

Taking the derivative of u, we get:

du/dx = 1 / √(1 - (2x)²)

Integrating dv, we get:

v = ∫4 dx = 4x

Now, applying the integration by parts formula:

∫4 \(sin^{-1}(2x) dx\) = uv - ∫vdu

Plugging in the values, we have:

∫4 \(sin^{-})(2x) dx = sin^{-1}(2x) \times\) 4x - ∫(4x / √(1 - (2x)²)) dx

At this point, we need to evaluate the integral on the right side.

Let's perform a substitution to simplify it:

Let u = 1 - (2x)²

Differentiating u with respect to x, we get:

du/dx = -4(2x) = -8x

Solving for dx, we have:

dx = -du / (8x)

Substituting these values, the integral becomes:

∫(4x / √(1 - (2x)²)) dx = ∫(-4x / (8x x √u)) (-du / (8x))

Simplifying, we get:

∫(4x / √(1 - (2x)²)) dx = ∫(-1 / (2√u)) du

= -∫(1 / (2√u)) du

= -√u + C

Substituting back the value of u, we have:

∫(4x / √(1 - (2x)²)) dx = -√(1 - (2x)²) + C

Therefore,

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

Learn more about integrations here:

https://brainly.com/question/21483169

#SPJ4

The complete question:

a) Evaluate the integral ∫4 sin^(-1)(2x) dx using integration by parts.

Answer:

201.06

Step-by-step explanation:

Let x be the total number of questions on the test; then,

Which is equivalent to

Solve for x as shown below

The answer is 20 questions in total on the test

Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

Know more about quadratic function here;

https://brainly.com/question/18958913

#SPJ11

Answer:

A. y= -3x - 1

that's the answer of you substitute the figures in x into where x can be located in A

Answer:

2/5 is fraction form.

0.4 is decimal form btw.

Answer:

x = 36

Step-by-step explanation:

You can write this equation to represent this problem:

\(\frac{1}{2}x-3=14\)

Then, just solve for x:

\(\frac{1}{2}x=14+3\\\frac{1}{2}x=17\\x=36\)

Answer:

C

Step-by-step explanation:

The dilated point R' of the given point will be (-12,-24). The correct option is A.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that If QRS is dilated by a scale factor of 6 through the origin, the coordinate will be calculated as:-

The dilation factor is 6 then multiply the coordinates of R by 6 to calculate the value of dilated coordinate.

( -2 , -4) ⇒ Dilated ( -2 x 6 , -4 x 6 )

( -2 , -4 ) ⇒ Dilated ( -12, -24 )

Therefore, the dilated point R' of the given point will be (-12,-24). The correct option is A.

To know more about dilation follow

https://brainly.com/question/3457976

#SPJ2

Answer:

The answer is 91

since, The Probability is P(5'3" < X < 5'10")  = 91%

Step-by-step explanation:

We assume that the heights follow a normal distribution such that we can use the z-table

Mean = M = 5'6" = 66"

Standard Deviation = S = 2"

We have to find the probability for 5'3" = 60 + 3 = 63" and 5'10" = 60 + 10 = 70" and then subtract them to get the probability of being in between.

To find the probability, we have to find the z-score and then look up the value corresponding to it to get the probability

for 5'3"

P(X < 5'3"),

Calculating the z-score,

z = (x - M)/S

z = (63 - 66)/2

z = -3/2

z = -1.5

Finding the value,

= 0.0668

So,

P(X < 5'3") = 0.0668

for 5'10"

P(X < 5'10"),

Calculating  the z score,

z = (x - M)/S

z = (70 - 66)/2

z = 4/2

z = 2

And looking up the corresponding value we get,

= 0.9772

P(X < 5'10") = 0.9772

The probability in between is then,

P(5'3" < X < 5'10") = P(X < 5'10") - P(X < 5'3")

= 0.9772 -  0.0668 = 0.9104

so,

P(5'3" < X < 5'10")  = 0.9104 = 91.04%

For whole number,

P(5'3" < X < 5'10")  = 91%

Note that the missing statement which concludes the proof that BD≅ BF is the Subtraction Property of equality.

The Subtraction Property of equality in geometry states that if a = b, then a - c = b - c. In other words, subtracting the same value from both sides of an equation maintains equality.

Since the following have been given:

AG ≅ EC, this means
AE ≅ GC, especially because
AC ⊥ FG and
AC ⊥ DE.  Straight lines from the same distance apart means that they both lines are equidistant from each other; and that
the points where they intersect line AB and BC respectively are also equidistant to each other.

Since

AD ≅ CE

Therefore
BD≅ BF.

Learn more about Subtraction Property of equality:
https://brainly.com/question/13130806
#SPJ1

Answer:

Don't copy that link it will hack you.

Step-by-step explanation:

But the answer is 3. Median the median is 146.

Mode is 142

Mean is 146

The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.

The given fraction is 13/625.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Here, the decimal expansion is 13/625 = 0.0208

So, the number of places of decimal are 4.

Therefore, the correct answer is option D.

To learn more about the decimal numbers visit:

https://brainly.com/question/1578006.

#SPJ1

Answer:

(-4.58, -2)

Step-by-step explanation:

\(\theta $ is in between \pi$ and $\frac{3\pi}{2}$ radians \\Therefore, \theta$ is in Quadrant III\\If \csc \theta = -\dfrac{5}{2}$ and cosec \theta = \dfrac{Hypotenuse}{Opposite} \\ $Therefore:\\Hypotenuse = 5\\Opposite $=-2\)

Using Pythagoras Theorem

\(5^2=(-2)^2+ x^2\\25=4+x^2\\x^2=21\\x=\sqrt{21} \approx 4.58\)

Since the angle is in the third Quadrant, Adjacent = -4.58.

Therefore, the coordinates of P(x,y) is (-4.58, -2)

Answer: a

Step-by-step explanation: edge 2021

Answer:

Explanation:

Given the expression;

simplifying;

we have;

Therefore;

The present value of $425 due in the future under each of the given conditions are as follows 1. $425 due in 5 years, with a 6% nominal rate and semiannual compounding: $314.92

To calculate the present value, we use the formula for the present value of a future amount with compound interest:

\(\[PV = \dfrac{FV}{(1 + r/n)^{nt}}\]\)

Where:

PV = Present Value

FV = Future Value

r = Nominal interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

In this case, the future value is $425, the nominal interest rate is 6% (0.06 in decimal form), the compounding is semiannual (n = 2), and the time period is 5 years. Plugging these values into the formula, we get:

\(\[PV = \dfrac{425}{(1 + 0.06/2)^{(2 \times 5)}} = 314.92\]\)

Therefore, the present value of $425 due in 5 years, with a 6% nominal rate and semiannual compounding, is $314.92.

Learn more about Present Value

brainly.com/question/28304447

#SPJ11

Option (c) Nonresponse in sample surveys is in addition to the random variation accounted for by the announced margin of error.

Nonresponse in sample surveys can introduce potential biases and affect the accuracy of the survey results. The impact of nonresponse on confidence intervals depends on how the missing data is handled and the underlying assumptions made.

Option (a) suggests that nonresponse has no effect on the accuracy of confidence intervals. However, this is not accurate because nonresponse can introduce biases and potentially affect the representativeness of the sample.

Option (b) states that nonresponse is included in the announced margin of error. This approach acknowledges that nonresponse can introduce uncertainty and affect the precision of the survey estimates. The announced margin of error typically accounts for random variation, but it may not fully capture the potential biases introduced by nonresponse.

Option (c) indicates that nonresponse is in addition to the random variation accounted for by the announced margin of error. This acknowledges that nonresponse introduces additional sources of variability beyond the random variation captured by the margin of error. It recognizes that nonresponse can impact the accuracy and reliability of the survey results.

learn more about Nonresponse here:

https://brainly.com/question/32199703?

#SPJ11

The correct statement for the best definition of an angle is,

''two rays that share a common endpoint called the vertex''.

Option B is true.

What is mean by angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Given that;

Define an angle with the help of definition.

Now,

Since, We know that;

A figure which is formed by two rays that shares a common endpoint vertex is called an angle.

Thus, the best definition of an angle is,

''two rays that share a common endpoint called the vertex''.

Learn more about the angle visit:

https://brainly.com/question/25770607

#SPJ1